A differential equation for lines of curvature on surfaces immersed in \(\mathbb{R}^4\)
In the main result of the paper, the authors establish a differential equation for the lines of curvature of a smooth immersion of a surface into 4-dimensional Euclidean space. The equation is phrased in the isothermal coordinates. They mention some consequences of the main result.
scientific article; zbMATH DE number 2161118
scientific article